Answers
Answer:
A. the degree is 4 11x^4-4x^2-12
B. The degree is 5 2x^5-3x^4+3x^3+7x+14
Step-by-step explanation:
The degree is always the highest or greatest exponent in the polynomial. To rearrange the polynomial put it in descending order from highest exponent to lowest exponent with x as an exponent of 1
Related Questions
Are the figures congruent? Explain.
Answers
answer:
yes, because when you count the units you will see they are same
step-by-step explanation:
being congruent doesn't mean it is similar, however being similar does mean that they are congruentas you can see when you count the number of units, they are similartherefore, they are congruentPLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
Answers
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
Find x, y, and z in the figure.
Answers
Answer:
Since x + y + z = 180° and z = 90°, y + z = 90°
Thus x + y = z
Step-by-step explanation:
The cone and cylinder above have the same radius and height. The volume of the cylinder is 48 cm3. What is the volume of the cone?
A.
24 cm3
B.
16 cm3
C.
96 cm3
D.
144 cm3
Answers
Answer:
Option B (16 cm³)
Step-by-step explanation:
GIVEN :-
Both cone and cylinder have same radius and height.Volume of cylinder = 48 cm³TO FIND :-
Volume of coneFACTS TO KNOW BEFORE SOLVING :-
Volume of a cylinder having radius 'r' and height 'h' is [tex]\pi r^2h[/tex]Volume of a cone having radius 'r' and height 'h' is [tex]\frac{1}{3} \pi r^2 h[/tex]Hence ,
Volume of cylinder = Thrice the volume of cone
[OR]
Volume of cone = One third of volume of cylinder
PROCEDURE :-
Volume of cone = [tex]\frac{1}{3} (Volume \: of \: cylinder) = \frac{48}{3} = 16 cm^3[/tex]
ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.
Answers
Answer:
6-8-10
9-12-15
5-12-13
Step-by-step explanation:
We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.
If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles
The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have:
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.
There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.
On applying Pythagoras theorem.
6² + 8² = 10²
9² + 12² = 15²
Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.
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The ratio of boys to girls taking geometry this year is 27:31. If 246 students are ebrolled in geometry this year, approximately how many of them are boys and how many of them are girls?
Answers
Answer:
115 boys
131 girls
Step-by-step explanation:
Given data
The given ratio= 27:31
The sum of the ratio = 27+31= 58
The total number of students taking geometry= 246
Let us apply the part to all method
let the number of boys be x
27/58= x/246
cross multiply
58*x= 246*27
58x=6642
x= 6642/58
x=114.5
Hence the number of boys is 115
Thefore, the number of girsl= 246-115= 131
A set of data points has a line of best fit of y= -0.2x + 1.7. What is the residual for the point (5, 1)?
Α. 1.5
Β. Ο.7
C. 0.3
D. -0.3
Answers
Substitute x in the equation for the x in the given coordinate, 5
-0.2 times 5 is -1
Then add 1.7 to -1 and you get 0.7
Answer: 0.3
Step-by-step explanation: I took the test
does anyone know the answer to this ?
Answers
Answer:answer b
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
What will happen to a number, if it was added to its inverse?
Answers
Answer:
The word "inverse" in the question is ambiguous, since x usually has inverses under both addition and multiplication. ... If the question is asking about the additive inverse (opposite), then the sum is always 0 for any x . So the sum takes its maximum value for any x .
Step-by-step explanation:
Answer:
Zero
Step-by-step explananation:
An inverse is the opposite of another number, so if you add them together it would equal zero.
Here are a few examples.
5+-5=0
9+-9=0
150+-150=0
-220+220=0
-476+476=0
The inverse is simply the originall number, but on the opposite side of the number line. Meaning you add or take away the negative sign, depending on the original number.
Hope I explained well:)
Help me pleaseeeeee I need help
Answers
Pls tell me if it’s wright or wrong as I want to learn to!
If 65xE=110 what is E
Answers
Answer: 22/13
Step-by-step explanation:
65e = 110
Divide 63 on both sides anyou get 22/13
A rectangular rug measures 9 feet by 6 feet. The rug has two
nonoverlapping yellow circles that each have a diameter of 3 feet. The
part of the rug not covered by the circles is blue.
What percent of the rug is blue? HELP HELP
DO NOT ANSWER “ DOWNLOAD HERE” STOP DOING THAT I ACTUALLY NEED HELP
Answers
Answer:
54%
Step-by-step explanation:
Answer:
74%
Step-by-step explanation:
Trust me
What could be the first step in simplifying the equation below? 5x + 3 = 25x - 7
O Add 5x to both sides
O Subtract 5x from both sides
O Add 3 to both sides
O Subtract 7 from both sides
Answers
Answer:
Subtract 5x from both sides
Which values are solutions to the inequality below?
Check all that apply.
Answers
if f(x) = 1 - x, whitch value is equivelent to f(i)
a . 0
b . 1
c . √(2)
d . √(-1)
Answers
Answer:
a). 0
Step-by-step explanation:
f(1) = 1 - 1
= 0
=0
Hope this helps
Juan wants to buy a doll house that is 45% off. The original price is
$74.85.
What is amount of discount (nearest hundredth)?
Answer this quick pls!! :,)
Answers
Answer:
well if you would divide 74.85 by 45% you would 33.6825.
and also i am the same guy that you answered a question from bioligy i got 3 more questions plaese answer them if you can.ty:)
Answer:
$33
Step-by-step explanation:
Given :
45%
$74.85
45% of 74.85 is
Answer = $33
write a linear function that shows the linear relationship in the table below.
Answers
Answer:
y=1/2x+7
Step-by-step explanation:
First find the slope of the function
Use slope formula:
10-9/6-4 =1/2
M= 1/2x
Find y-intercept:
9=1/2(4)+b
B=7
ABC is isosceles AC=20 and BC= 3x-7
Answers
Answer:
x=9
Step-by-step explanation:
Factor the Polynomial
5x2 + 45x
Answers
10x+45x=55x
Answer:
55x
Step-by-step explanation:
5x*2+45x=
10x + 45x= 55x
Lemon buys a comic book priced at $130.42. The sales tax rate is
4.9%.
What is the tax amount to the nearest cent?
pls answer this lol
Answers
Answer:
[tex]\huge\boxed{\$\ 6}[/tex]
Step-by-step explanation:
Price = $130.42
Sales tax = 4.9% of 130.42
Tax as amount:
= 4.9 / 100 * 130.42
= 0.049 * 130.42
= 6.3
≈ $6
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807You move left 3 units. You end at (-3, 5). Where did you start? please someone help!!!!
Answers
Renaldo says that parallel lines intersect a circle at opposite
ends of the same diameter. If a line is tangent to a circle, then
the radius of the circle is perpendicular to the line at the point of
tangency. Does this fact support Renaldo's conjecture? Explain
Answers
Answer:
Yes
Step-by-step explanation:
Noted that the claim only stands true IF BOTH OF THE LINES ARE TANGENT TO THE CIRCLE. [If one line cut the circle at 2 distinct points, the claim is false]
This can be explained with tangent properties. Consider a circle with radius r, by tangent properties, then the radius of the circle is perpendicular to the line at the point of tangency as stated in the question. Since the two lines are parallel, we can bring back up parallel lines theory, the alternative angles of the two tangent to the circle is equal to 90.
Try to draw a line linking the two points of tangent passing through the radius, it is the diameter of the circle, thus parallel lines intersect a circle at opposite ends of the same diameter.
which graph represents the function
Answers
To lease his car, Greg had to pay a $1000 down payment, plus $250 per month. Write an equation that represents the total amount paid. DO NOT PUT ANY SPACES IN YOUR ANSWER.
Answers
Answer:
250x+1000
Step-by-step explanation:
The linear equation that represents the total amount paid is 1000 + 250x.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
A formula known as an equation uses the same sign to denote the equality of two expressions.
As per the given,
Amount of down payment = $1000
Per month payment = $250
For x number of months = $250x
Total paid = 1000 + 250x
Hence "The linear equation that represents the total amount paid is 1000 + 250x".
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the side of the clip board appears to be a right triangle . the leg length are 2 millimeters and 2.1 millimeters and the hypotenuse is 2.9 millimeters. is the thee of the clip a right triangle ?
Answers
It is because u can only do pathagreom therom on right triangles.
2*2 + 2.1*2.1
4+4.41=8.41
square root of 8.41 is 2.9 so that confrms the therom which isaversa confirms it is a right triangle.
HELP! 9 is what percent of 100 (need to show how I got my answer)
Answers
Answer:
9%
Step-by-step explanation:
We can start by changing this number to a fraction.
[tex]\frac{9}{100}[/tex]
We know that 100 is a whole percentage
Therfore, we would get 9%
Solve this system of equations by using the elimination method -2x-2y=-6, 3x+4y=8
Answers
Step-by-step explanation:
- 2x-2y=-6
3x+4y=8
multiply equation (1) by 3 and equation (2) by 2
- 6x-6y=18
6x+8y=16
Add
2y=34
y= 34÷2
y=17
substitute 17 for y in equation (2)
3x+4y=8
3x+4(17)=8
3x+68=8
3x=8-68
3x=-60
x=-60÷3
x=-20
x=-20,y=17
Triangle ABC is similar to triangle DEF. What is the value of x in centimeters?
A. 17 cm
B. 16.5 cm
C. 15.4 cm
D. 18 cm
Answers
Answer:Triangle ABC is similar to triangle DEF. What is the value of x in centimeters?
Step-by-step explanation: it will be B
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Sarah is self-publishing her 300-page novel and wants to estimate the printing costs.
She looks up printing costs for other paperback books and plots the number of pages (x)
against the cost (y) in dollars.
Answer the questions to estimate the cost of printing a 300-page paperback book.
1. What is the y-intercept for the trend line? What is the real-world meaning of this point?
2. One point on the trend line is (200,6). Using this point in the Y intercept, find the slope of the trend line. Show your work.
3. What is the real-world meaning of the slope?
4. Use the slope and y-intercept to write an equation for the trend line in the slope-intercept form.
5. Use your equation to estimate the cost of printing Sarah’s 300-page book
Answers
Answer:
1. Y-intercept b=5
That means it has a 5.00 starting fee.
2. Using the formula (Y2-Y1)/(X2-X1) we will find the slope between the two points.
Point one (X1 and Y1) will be the Y-intercept.
X1,Y1 = (0, 5.00)
Point 2 (X2 and Y2) will be the point on the trend line.
X2, Y2 = (200, 6.00)
Plug in:
(6.00 - 5.00)/(200 - 0) = 00.5 or 1/200.
3. When printing 200 pages each page will cost $.005.
4. .005x+5
5. .005x+5
.005(300)+5=6.5
good luck♡♡!!
Step-by-step explanation:
The estimated cost of printing Sarah's 300-page book is $6.50.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The y-intercept for the trend line is the value of y when x is equal to zero, which is 5.
The real-world meaning of this point is the fixed cost or base cost of printing a book, which includes expenses like labor, equipment, and materials that are not dependent on the number of pages in the book.
We are given one point on the trend line, (200,6), and the y-intercept is (0,5). So, we can substitute these values in the formula:
slope = (6 - 5) / (200 - 0) = 0.005 or 1/200
The real-world meaning of the slope is the variable cost per page, which represents the additional cost of printing each page beyond the fixed cost.
In this case, the slope of 0.005 means that it costs $0.005 or half a cent to print each additional page.
Using the slope-intercept form, the equation for the trend line is:
y = mx + b
where m is the slope and b is the y-intercept. Substituting the values we obtained in steps 1 and 2, we get:
y = 0.005x + 5
To estimate the cost of printing Sarah's 300-page book, we substitute x = 300 in the equation:
y = 0.005(300) + 5 = 6.5
So, the estimated cost of printing Sarah's 300-page book is $6.50.
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The age of trees in a forest is known to be approximately normal with an average age of 40 years and a standard deviation of 10 years. What is the standardized score for a tree that is 34 years old?
Answers
Answer: D. -0.6
Step-by-step explanation:
Z score formula= x-mean/ SD
34-40/10= -3/5= -0.6
The standardized score for a tree that is 34 years old is -0.6
We have given that,
The age of trees in a forest is approximately normal with an average age of 40 years and a standard deviation of 10 years.
We have to determine what is the standardized score for a tree that is 34 years old
What is the Z-score formula?Z score formula= x-mean/ SD
We use the given values in the above formula so we get,
Z score =34-40/10
Z score = -3/5
Z score = -0.6
Therefore, The standardized score for a tree that is 34 years old is -0.6
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